Step-by-step explanation:
Looks like it's a scale factor?
The base of the small one is 5ft and the base of the large is 45ft. If we divide
45/5 = 9
Since the height of the small is 40ft, we can multiply by 9, the number we just found, to find the value of X.
40 x 9 = 360ft
$-50⁰
S
S =
Submit
S-49⁰
The value of s, which is the measure of the exterior angle, is 99°.
What is the exterior angle of a triangle?
An exterior angle of a triangle is an angle that is formed by extending one of the sides of the triangle. Specifically, it is the angle that is formed between that extended side and the adjacent side of the triangle that it doesn't share a vertex with.
In other words, if you choose one of the sides of a triangle and extend it, the angle that is formed between the extension and the adjacent side of the triangle is called an exterior angle.
Each of the three sides of a triangle has a corresponding exterior angle, and the sum of the measures of the three exterior angles of a triangle is always 360 degrees.
The sum of the measures of the exterior angles of any triangle is always 360 degrees.
In this case, we have two interior angles of the triangle given as s-50° and s-49°, and we are told that s is the measure of the exterior angle.
By definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
So, we have:
s = (s-50°) + (s-49°)
Simplifying the equation:
s = s - 50° + s - 49°
s = 2s - 99°
99° = s
s = 99°
Therefore, the value of s, which is the measure of the exterior angle, is 99 degrees.
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Please help!!!!! Look at the attachment
Answer:
x=-6
Step-by-step explanation:
Answer: x= -6
Step-by-step explanation:
You combine the 2 expressions
8x+8=5x-10
move the smallest variable
3x+8=-10
and do what you would normally do
3x=-18
/3
x=-6
According to a survey of 550 Web users from Generation Y, 297 reported using the Internet to download music. a. Determine the sample proportion.
b. At the 1% significance level, do the data provide sufficient evidence to conclude that a majority of Generation Y Web users use the Internet to download music? Use
the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.
a. The sample proportion is .54. (Type an integer or a decimal.)
b. What are the hypotheses for the one-proportion z-test?
The sample proportion is 0.54 (54%).
The hypotheses for the one-proportion z-test are:
Null hypothesis (H0): The proportion of Generation Y Web users who use the Internet to download music is less than or equal to 0.5 (50%).
Alternative hypothesis (Ha): The proportion of Generation Y Web users who use the Internet to download music is greater than 0.5 (50%).
At 1% significance level, you would then perform the one-proportion z-test to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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Lines m and n are parallel.
what is m<2
options are:
39°
57°
67°
74°
Answer:
67°
Step-by-step explanation:
9x+2=74
9x=72
x=8
m<2 = 180-(5(8)-1+74)
= 180-(39+74)
=180+113
= 67°
edimentation tanks are often used as the first step in wastewater treatments. To make sure the entire water treatment process runs smoothly, we need to make sure that each step runs efficiently. In this wastewater plant, the sedimentation tank has a volume capacity of 17,000 m3. If a detention time of 3.4 hours is required, what should you have the flow rate set to in ML/day?
The correct answer is - the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
Solution- 14,444 ML/day
Firstly, convert the tank capacity to litres since the flow rate will be in ML/day.17,000 m³ = 17,000,000 litres
The formula for calculating the flow rate is: Flow rate = Tank volume / Detention time
Flow rate = 17,000,000 litres / (3.4 hours x 24 hours)
Flow rate = 17,000,000 litres / 81.6 hours
Flow rate = 208,333.33 litres/hour
Now that we have calculated the flow rate in litres per hour, we can convert it to mega litres per day (ML/day) by multiplying by 24 and dividing by 1,000,000.
Flow rate = 208,333.33 litres/hour x 24 / 1,000,000 = 5 ML/day
Therefore, the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
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What is 4√2 divided by 3√5
Answer:
4√2 ÷ 3√5
4*1.32 /3*2.23= 5.28/6.69
This week, Fern practiced piano for 2 3/4 h, played soccer for 5 5/6 h, and talked on the phone for 2 2/3 h How many more hours did Fern spend playing soccer than talking on the phone? Explain. a. 3 1/12 b. 3 1/6 c. 11 1/4 d. 5 5/12
here is some more questions if you cant read them tell me and i'll write them in the comments
Answer: B. 3and 1/6
Step-by-step explanation:
Simplify the expression
5i(6-8)
A. 40-30i
B. 40+30i
C. -30+40i
D. 30+40i
Answer:
D hope this helps :)
Step-by-step explanation:
4. Which of the following is an arithmetic sequence?
A. 4, 1, -2,-5, -8 B.4,-12, 36, -108
Emily bought 28 flowers and divided them equally into 4 bouquets. How many flowers are in each bouquet?
f(x) = |3x + 4| +2
g(x) = 4
find (f + g)(x).
a. ( f + g)(x) = |3x + 4| + 6
b. ( f + g)(x) = |3x| + 10
c. ( f + g)(x) = |3x + 6| + 4
d. ( f + g)(x) = |3x + 10|
Answer:
A
Step-by-step explanation:
(f + g) (x) = f(x) + g(x)
= ( |3x + 4| + 4) + (2)
= |3x + 4| + 4 + 2
= |3x + 4| + 6
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4I need someone to explain how I got this answer please
Using Pythagoras' theorem;
\(\begin{gathered} 8^2=x^2+y^2----(1) \\ y^2=z^2+6^2----(2) \\ x^2=z^2+2^2-----(3) \end{gathered}\)\(\begin{gathered} From\text{ \lparen1\rparen;} \\ y^2=8^2-x^2----(a) \\ Sunstituting\text{ \lparen a\rparen into \lparen2\rparen} \\ 8^2-x^2=z^2+6^2 \\ x^2=-z^2+28----(4) \end{gathered}\)\(undefined\)The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?
Answer:
5cm
Step-by-step explanation:
Given parameters:
Volume = 45cm³
Radius = 3cm
Unknown:
Height of the cone = ?
Solution:
Volume of cone is given as ;
V = \(\frac{1}{3} \pi\) r² h
r is the radius
h is the height
45 = \(\frac{1}{3} \pi\)x 3² x h
45 = 3π x h
h = \(\frac{45}{3 x3.142}\) = 4.77cm
5cm is the closest answer choice
g(x) = 3 (x/2)
If you input 4 into g(x), what do you get for an output?
Answer:
Step-by-step explanation:
If we input 4 into g(x), we get:
g(4) = 3(4/2) = 3(2) = 6
Therefore, the output of g(x) when we input 4 is 6.
what is 64 is 66 2/3% of what number
Answer:
64 = (66+2/3)x
x=0.96
Step-by-step explanation:
64 is 66 2/3 of 96
set up the proportion 64 over x = 66 2/3 over 100
cross multiply and youll have 6400 and 66 2/3 x
to find x, divide 6400 by 66 2/3 (aka 200/3)
you should get 96
hope i helped
(the answer can't be less than 64 since 64 is only part of the whole number)
What are the solutions to the quadratic equation 4x^2 = 64?
A. x = −16 and x = 16
B. x = −8 and x = 8
C. x = −4 and x = 4
D. x = −2 and x = 2
Answer:
C
Step-by-step explanation:
Given
4x² = 64 ( divide both sides by 4 )
x² = 16 ( take the square root of both sides )
x = ± \(\sqrt{16}\) = ± 4
Solutions are x = - 4 and x = 4 → C
Select ALL the correct answers.
Which of these numbers are greater than 3.2 × 10-3?
2.1 × 10-3
4.2 × 10-4
5.2 × 10-2
5.2 × 10-1
Answer:5.2 x 10-1
Step-by-step explanation:hope i could help ;)
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
The circle graph shows how a typical household spends money on energy. Use the graph to find the measure of each arc.
mPQ
MUPT
Converting the percentage to degree in the pie chart, angle PQ and UPT are 162° and 25.2° respectively
Pie ChartThis is a statistical tool used to represent data in a chart. It is often represented using angles or percentage.
To find the value of the respectively angles, we have to convert the values from percentage to degree.
The formula to do this is given as
Percentage = angle * (100 / 360)
A)
Angle PQ = ?
Substituting the values;
45 = angle * (100 / 360)
45 = angle * (5/18)
angle = 45 / (5/18)
angle = 162°
B) Angle UPT = ?
7 = angle * (5/18)
angle = 7 / (5/18)
angle = 25.2
The angle PQ is 162 degrees, the angle UPT is 25.2 degrees
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The mean and standard distribution of a data set that follows a normal
distribution are shown below. What percentage of values in the data set lie
between 39 and 63?
μ = 51
o = 12
Answer:
so like you need to do this, then that and yeah u get that
Can someone help me with number 36? Tysmmm
Answer: Never(!) [assuming I understand/interpret the question properly]
Step-by-step explanation: The question wants to know how many months it will take for your neighbor's total cost be the same as yours, with three televisions. One has to interpret "total cost." I deem it to be the total accumulated costs, including installation. If you interpret it as the cost per month, then they charges are the same after the month the installation cast was paid. That's because the satellite provider charges per television, and 3*(13.32) is equal to the same 39.96/month charged by the cable provider. It the questions means total cumulative costs, the satellite customer will never exceed the cable customer's total bill, because of the installation fee ($75 for cable and free for satellite)
in a certain location of a highway, vehicle arrivals are poisson distributed with an hourly traffic flow of 210 veh/h. taking that into consideration, answer the following questions using 4 decimal places: a. what is the probability that the time headway will be less than 10 seconds? b. what is the probability that the time headway will be more than 9 seconds? c. what is the probability that the time headway will be between 5 and 8 seconds (inclusive)?
a) Probability that the time headway will be less than 10 seconds is 0.0228.
b) Probability that the time headway will be more than 9 seconds is 0.8737.
c) Probability that the time headway will be between 5 and 8 seconds (inclusive) is 0.2331.
(a) The probability that the time headway will be less than 10 seconds can be found by using the Poisson distribution formula and substituting λ = 3.5 (since the traffic flow is 210 veh/h, which corresponds to an average of 3.5 veh/min). Thus,
P(X < 10) = 0.0228.(b) The probability that the time headway will be more than 9 seconds is equal to 1 minus the probability that the time headway will be less than or equal to 9 seconds. Thus,
P(X > 9) = 1 - P(X ≤ 9) = 1 - 0.1263 = 0.8737.(c) The probability that the time headway will be between 5 and 8 seconds (inclusive) can be found by subtracting the probability that the time headway is less than or equal to 4 seconds from the probability that the time headway is less than or equal to 8 seconds, i.e.,
P(5 ≤ X ≤ 8) = P(X ≤ 8) - P(X ≤ 4) = 0.3159 - 0.0828 = 0.2331.Learn more about Probability:
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8. Rachel and Sabine belong to different local gyms. Rachel pays $35 per month and a one-time
registration fee of $15. Sabine pays only $25 per month but had to pay a $75 registration fee. After
how many months will Rachael and Sabine have spent the same amount on their gym memberships?
A salesperson at a jewelry store earns 6% commission each week. Last week, jarrod sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
1/ $ 4.08
2/ $675.92
Step-by-step explanation:
Take 68 times 0.06% = $4.08
680 - 4.08= 675.92
Answer:
Step-by-step explanation:
40.80 it told me the answer
Is 4 a solution to the compound inequality “x < 0 and c < 7”
Answer:
no
Step-by-step explanation:
4 is greater than 0
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
Prove that: (Sec A- cosec A)(1+ tan A+cot A) = tan A× sec A - cot A × cosec A
Answer:
Step-by-step explanation:
\((sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\)
we take the LHS so here goes,
\((sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\\)
since , \(sin^2A+cos^2A=1\)
the identity becomes,
\((\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\\)
now, we know,
\(sin^2A=1-cos^2A\) and \(cos^2A=1-sin^2A\)
the identity becomes,
\((\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\\)
\((\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})\)
sin A and cos A cancel out it becomes zero
\(\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\\)
Splitting the denominator the identity becomes
\(\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A} \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\\)
Hence,
\(tanAsecA-cotAcosecA\)
x/-3 = -7
What is x?
Please explain
Answer: x=21
Step-by-step explanation:
x/-3=-7
Take -3 and multiply it on each side to cancel it out from the left
x=21
Answer:
i think its 21
Step-by-step explanation:
-3x x/3 =-7 x -3 = 21
5+T(6-3); T=4 what’s the answer in a hurry
Answer:
17
Step-by-step explanation:
5+T(6-3); T=4
Use order of operations. Parenthesis, multiplying, then add last.
= 5 + 4(6 -3)
= 5 + 4(3)
= 5 + 12
= 17